Unformatted text preview: What boundary conditions are implied by this solution? (c) What initial conditions on displacement and velocity are implied by this solution? Question 3. Consider heat conduction in a flat, circular disc of thickness h . The disc is insulated on both its top and bottom surfaces, such that heat can flow only in the ( ) θ , r plane (using polar coordinates). By applying conservation of energy to an element of sides r Δ , Δ r , and thickness h , show that the disc temperature is governed by the 2D diffusion equation in polar coordinates: ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ∂ ∂ + ∂ ∂ + ∂ ∂ = ∂ ∂ 2 2 2 2 2 1 1 T r r T r r T a t T where c k a =...
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 Spring '10
 SerhiyYarusevych
 Cartesian Coordinate System, Stress, Advanced Engineering Mathematics, Spherical coordinate system, Polar coordinate system, 2d wave equation

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